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Finding the Fourth Proportional to 107,371.46, 161,057 and 27,409.40

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Solution

The fourth proportional to 107,371.46, 161,057 and 27,409.40 is: 41,114.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,371.46 : 161,057 = 27,409.40 : x
  2. Step 2: Convert to fraction form
    107,371.46/161,057 = 27,409.40/x
  3. Step 3: Cross multiply
    107,371.46x = 161,057 × 27,409.40
  4. Step 4: Simplify right side
    107,371.46x = 4,414,475,735.80
  5. Step 5: Solve for x
    x = 4,414,475,735.80/107,371.46
  6. Step 6: Final answer
    x = 41,114.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.